Verify that the product of the Dedekind cut for 2 and that for 3 is the Dedekind cut for 6.

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Q: 3. Do the following task. a. () State formally what do we mean by being a metric space of X with…

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Q: n Exercises 27–36, mark each statement True or False (T/F). Justify each answer 27. (T/F) A…

A: Remember : An equation of the form AX=0 is called homogeneous solution. where A is m*n matrix and X…

Q: You know 15% of a number n is 12. How can you use this to find 30% of n? 45% of n

A: Given , 15% of number n = 12  Then 30% of n = 24 And 45% of n = 36

Q: Let the fame tional J[y] = {² (y² + yy") dx, and the boun dary condition are y (x₂)=0 sy(x₂) = x₁,…

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Q: X > Find scalars (i.e., real numbers) x and y such that 1 1 -1 +y 5 1 3 = 19 3 13

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Q: Prove that, for any sets A and B, it is true that A∪(A∩B) = A

A: We will do it by two different methods

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Q: Question 1. Determine whether the following limits exist, and justify your answer. (a) (b) lim…

A: 1. (a). Given,                    limz→0Arg(z).

Q: Exercise 8. The series n² log² 1-2 A diverges to +∞o. C converges to a negative number. B converges…

A: Answer given below.

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Q: Can you now answer the B) excercise

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Q: e¹0 _0_e¹0–0 e10_11 .25

A: We have e10-θ-e10-θe10-11=0.25 which can be written as  e10-θ-e10e-θ=0.25e10-11e101-e-θ=0.25e10-11+θ

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Q: Find the composed matrix for aligning a vector v along the unit vector j. Assume 3-D coordinate…

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Q: wrong answer po. please provide right answer. thank you!

A: The Formula for the Centroid of the y coordinate is  y=A1y1+A2y2+A3y3A1+A2+A3 Here A1=Area of…

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Q: Solve the following homogeneous differential equation by substitution. y² + yt t² + y² y' = + 1

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Q: 4 For f(x) = 3x - 24x² +8 find the following. (B) The slope of the graph of f at x = 1 (C) The…

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Q: The population of an aquatic species in a certain body of water is approximated by the logistic…

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Q: Find the exact values of the trig functions when tan 0: =-and cos 0 <0.

A: We are given the information that           tanθ = -3/4  =&gt; tan2θ = (-3/4)2 = 9/16         =&gt;…

Q: Consider the equations (a) Show that near (a, b) = = x² − y² − z³ + w² + 4 2xy + y² - 2z²+3w¹ +8 = 0…

A: Given Data:Let us consider the given data,x2-y2-z3+w2+4=02xy+y2-2z2+3w4+8=0 Solution:a If we…

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Q: (2x²-4y³)dx + 3xy²dy = 0 HINT: Find integrating factor F(x) = 1/x³.

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Q: show that the given function is of exponential order. Q. f(t)=e3t sin4t.

A: The given function is: ft=e3tsin4t. We have to show that the given function is of exponential order.

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Q: Discuss the use of conjugates in radical problems. What are conjugates? How can you use them to…

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Q: 3. Use a direct proof to show that if x +y is even, then x²y - y³ +2 is even. Clearly state your…

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Q: 5. Express XY in component form. Then graph XY. X = [8] and Y= [4] 14 107GIAS TR Y 10 9 6 6 0 4 5 6…

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Q: True or False? True O False The set Span{u, } can always be visualized as a plane through the…

A: The linear span of a set S of vectors is defined as the set of all linear combinations of the…

Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

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Q: 3. Let OÁ = i +2j+ k, OB = 3i+j+2k and OC = 5i+j+ 3k. (a) i. Find AB × AČ. ii. Find the area of…

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Q: In this problem we show that the function lim (x,2x)→(0,0) does not have a limit as (x,y) → (0,0).…

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Q: The number of fatalities in coal mines in a certain country for recent years is given in the table…

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Q: show your work neatly and clearly Write the equation of a line that passes through the given points…

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